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</head>

<body lang=ZH-CN link=blue vlink="#954F72" style='tab-interval:21.0pt;
text-justify-trim:punctuation'>

<div class=WordSection1 style='layout-grid:15.6pt'>

    <p class=MsoNormal align=left style='margin-bottom:12.0pt;text-align:left;
mso-pagination:widow-orphan;background:white'><span lang=EN-US
                                                    style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>SM4</span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>分组密码算法是我国自主设计的分组对称密码算法，用于实现数据的加密</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>/</span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>解密运算，以保证数据和信息的机密性。要保证一个对称密码算法的安全性的基本条件是其具备足够的密钥长度，</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>SM4</span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>算法与</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>AES</span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>算法具有相同的密钥长度分组长度</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>128</span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>比特，因此在安全性上高于</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>3DES</span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>算法。</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'><o:p></o:p></span></p>

    <p class=MsoNormal align=left style='margin-bottom:12.0pt;text-align:left;
mso-pagination:widow-orphan;background:white'><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>主要用于无线局域网。其分组长度为</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>128bit</span><span style='font-size:
13.5pt;font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>，密钥长度也为</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>128bit</span><span style='font-size:
13.5pt;font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>。加密算法与密钥扩展算法均采用</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>32</span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>轮非线性迭代结构，以字（</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>32</span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>位）为单位进行加密运算，每一次迭代运算均为一轮变换函数</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>F</span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>。</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>SM4</span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>算法加</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>/</span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>解密算法的结构相同，只是使用轮密钥相反，其中解密轮密钥是加密轮密钥的逆序。</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>SM4</span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>算法的整体结构如图所示：</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'><o:p></o:p></span></p>

    <p class=MsoNormal align=left style='margin-bottom:12.0pt;text-align:left;
mso-pagination:widow-orphan;background:white'><span lang=EN-US
                                                    style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>SM4</span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>算法结构图：</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'><o:p></o:p></span></p>

    <p class=MsoNormal align=left style='margin-bottom:12.0pt;text-align:left;
mso-pagination:widow-orphan;background:white'><span lang=EN-US
                                                    style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt;mso-no-proof:yes'><!--[if gte vml 1]><v:shapetype
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            path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f">
        <v:stroke joinstyle="miter"/>
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                           alt="https://img-blog.csdn.net/20181011201324739?watermark/2/text/aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L2NnMTI5MDU0MDM2/font/5a6L5L2T/fontsize/400/fill/I0JBQkFCMA==/dissolve/70"
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                                           src="sm4.files/image001.png"
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    <p class=MsoNormal align=left style='margin-bottom:12.0pt;text-align:left;
mso-pagination:widow-orphan;background:white'><span lang=EN-US
                                                    style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>2. </span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>参数产生</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'><br>
1. </span><span style='font-size:13.5pt;font-family:宋体;mso-ascii-font-family:
Arial;mso-hansi-font-family:Arial;mso-bidi-font-family:Arial;color:#4D4D4D;
mso-font-kerning:0pt'>字节由</span><span lang=EN-US style='font-size:13.5pt;
font-family:"Arial",sans-serif;mso-fareast-font-family:宋体;color:#4D4D4D;
mso-font-kerning:0pt'>8</span><span style='font-size:13.5pt;font-family:宋体;
mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;mso-bidi-font-family:
Arial;color:#4D4D4D;mso-font-kerning:0pt'>位</span><span lang=EN-US
                                                        style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>2</span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>进制数表示，字由</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>32</span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>位</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>2</span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>进制数表示；</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'><o:p></o:p></span></p>

    <p class=MsoNormal align=left style='margin-bottom:12.0pt;text-align:left;
mso-pagination:widow-orphan;background:white'><span lang=EN-US
                                                    style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>2. S</span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>盒为固定的</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>8bit</span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>输入和输出置换；</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'><o:p></o:p></span></p>

    <p class=MsoNormal align=left style='margin-bottom:12.0pt;text-align:left;
mso-pagination:widow-orphan;background:white'><span lang=EN-US
                                                    style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>3. </span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>加密密钥长度为</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>128bit</span><span style='font-size:
13.5pt;font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>，表示为，其中</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>MKi (i=0,1,2,3)</span><span
            style='font-size:13.5pt;font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:
Arial;mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>为字。轮密钥表示为</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>rki</span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>（</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>i=0,1,2.....,31</span><span
            style='font-size:13.5pt;font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:
Arial;mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>）为字。</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>FK=(FK0,FK1,FK2,FK3)</span><span
            style='font-size:13.5pt;font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:
Arial;mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>为系统参数，</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>CK=(CK0,CK1,.....,CK31)</span><span
            style='font-size:13.5pt;font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:
Arial;mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>为固定参数，都为字。</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'><o:p></o:p></span></p>

    <p class=MsoNormal align=left style='margin-bottom:12.0pt;text-align:left;
mso-pagination:widow-orphan;background:white'><span lang=EN-US
                                                    style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt;mso-no-proof:yes'><!--[if gte vml 1]><v:shape
            id="图片_x0020_14" o:spid="_x0000_i1032" type="#_x0000_t75" alt="https://img-blog.csdnimg.cn/20190707133955317.png?x-oss-process=image/watermark,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3dlaXhpbl8zNzU2OTA0OA==,size_16,color_FFFFFF,t_70"
            style='width:496.8pt;height:288.6pt;visibility:visible;mso-wrap-style:square'>
        <v:imagedata src="sm4.files/image002.png" o:title="watermark,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3dlaXhpbl8zNzU2OTA0OA==,size_16,color_FFFFFF,t_70"/>
    </v:shape><![endif]--><![if !vml]><img width=662 height=385
                                           src="sm4.files/image003.png"
                                           alt="https://img-blog.csdnimg.cn/20190707133955317.png?x-oss-process=image/watermark,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3dlaXhpbl8zNzU2OTA0OA==,size_16,color_FFFFFF,t_70"
                                           v:shapes="图片_x0020_14"><![endif]></span><span lang=EN-US style='font-size:13.5pt;
font-family:"Arial",sans-serif;mso-fareast-font-family:宋体;color:#4D4D4D;
mso-font-kerning:0pt'><o:p></o:p></span></p>

    <p class=MsoNormal align=left style='margin-bottom:12.0pt;text-align:left;
mso-pagination:widow-orphan;background:white'><span lang=EN-US
                                                    style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>3. </span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>轮函数</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'><br>
</span><span style='font-size:13.5pt;font-family:宋体;mso-ascii-font-family:Arial;
mso-hansi-font-family:Arial;mso-bidi-font-family:Arial;color:#4D4D4D;
mso-font-kerning:0pt'>整体的加密函数为：</span><span lang=EN-US style='font-size:13.5pt;
font-family:"Arial",sans-serif;mso-fareast-font-family:宋体;color:#4D4D4D;
mso-font-kerning:0pt'><o:p></o:p></span></p>

    <p class=MsoNormal align=left style='margin-bottom:12.0pt;text-align:left;
mso-pagination:widow-orphan;background:white'><span lang=EN-US
                                                    style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt;mso-no-proof:yes'><!--[if gte vml 1]><v:shape
            id="图片_x0020_13" o:spid="_x0000_i1031" type="#_x0000_t75" alt="https://img-blog.csdn.net/20181011202351368?watermark/2/text/aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L2NnMTI5MDU0MDM2/font/5a6L5L2T/fontsize/400/fill/I0JBQkFCMA==/dissolve/70"
            style='width:490.8pt;height:34.8pt;visibility:visible;mso-wrap-style:square'>
        <v:imagedata src="sm4.files/image004.png" o:title="70"/>
    </v:shape><![endif]--><![if !vml]><img width=654 height=46
                                           src="sm4.files/image005.png"
                                           alt="https://img-blog.csdn.net/20181011202351368?watermark/2/text/aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L2NnMTI5MDU0MDM2/font/5a6L5L2T/fontsize/400/fill/I0JBQkFCMA==/dissolve/70"
                                           v:shapes="图片_x0020_13"><![endif]></span><span lang=EN-US style='font-size:13.5pt;
font-family:"Arial",sans-serif;mso-fareast-font-family:宋体;color:#4D4D4D;
mso-font-kerning:0pt'><o:p></o:p></span></p>

    <p class=MsoNormal align=left style='margin-bottom:12.0pt;text-align:left;
mso-pagination:widow-orphan;background:white'><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>其中</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>T</span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>为一个合成置换，由非线性变换和线性变换复合而成。</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'><o:p></o:p></span></p>

    <p class=MsoNormal align=left style='margin-bottom:12.0pt;text-align:left;
mso-pagination:widow-orphan;background:white'><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>非线性变换由</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>4</span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>个平行的</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>S</span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>盒构成，</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>S</span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>盒的数据均采用</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>16</span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>进制。</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'><br>
</span><span style='font-size:13.5pt;font-family:宋体;mso-ascii-font-family:Arial;
mso-hansi-font-family:Arial;mso-bidi-font-family:Arial;color:#4D4D4D;
mso-font-kerning:0pt'>线性变换公式如下，其中</span><span lang=EN-US style='font-size:13.5pt;
font-family:"Arial",sans-serif;mso-fareast-font-family:宋体;color:#4D4D4D;
mso-font-kerning:0pt'>B</span><span style='font-size:13.5pt;font-family:宋体;
mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;mso-bidi-font-family:
Arial;color:#4D4D4D;mso-font-kerning:0pt'>为非线性变换得到的字</span><span lang=EN-US
                                                                 style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'><o:p></o:p></span></p>

    <p class=MsoNormal align=left style='margin-bottom:12.0pt;text-align:left;
mso-pagination:widow-orphan;background:white'><span lang=EN-US
                                                    style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt;mso-no-proof:yes'><!--[if gte vml 1]><v:shape
            id="图片_x0020_12" o:spid="_x0000_i1030" type="#_x0000_t75" alt="https://img-blog.csdn.net/20181011202818511?watermark/2/text/aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L2NnMTI5MDU0MDM2/font/5a6L5L2T/fontsize/400/fill/I0JBQkFCMA==/dissolve/70"
            style='width:397.8pt;height:30pt;visibility:visible;mso-wrap-style:square'>
        <v:imagedata src="sm4.files/image006.png" o:title="70"/>
    </v:shape><![endif]--><![if !vml]><img width=530 height=40
                                           src="sm4.files/image006.png"
                                           alt="https://img-blog.csdn.net/20181011202818511?watermark/2/text/aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L2NnMTI5MDU0MDM2/font/5a6L5L2T/fontsize/400/fill/I0JBQkFCMA==/dissolve/70"
                                           v:shapes="图片_x0020_12"><![endif]></span><span lang=EN-US style='font-size:13.5pt;
font-family:"Arial",sans-serif;mso-fareast-font-family:宋体;color:#4D4D4D;
mso-font-kerning:0pt'><o:p></o:p></span></p>

    <p class=MsoNormal align=left style='margin-bottom:12.0pt;text-align:left;
mso-pagination:widow-orphan;background:white'><span lang=EN-US
                                                    style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt;mso-no-proof:yes'><!--[if gte vml 1]><v:shape
            id="图片_x0020_11" o:spid="_x0000_i1029" type="#_x0000_t75" alt="https://img-blog.csdnimg.cn/20190707133927461.png?x-oss-process=image/watermark,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3dlaXhpbl8zNzU2OTA0OA==,size_16,color_FFFFFF,t_70"
            style='width:486pt;height:241.8pt;visibility:visible;mso-wrap-style:square'>
        <v:imagedata src="sm4.files/image007.png" o:title="watermark,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3dlaXhpbl8zNzU2OTA0OA==,size_16,color_FFFFFF,t_70"/>
    </v:shape><![endif]--><![if !vml]><img width=648 height=322
                                           src="sm4.files/image008.png"
                                           alt="https://img-blog.csdnimg.cn/20190707133927461.png?x-oss-process=image/watermark,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3dlaXhpbl8zNzU2OTA0OA==,size_16,color_FFFFFF,t_70"
                                           v:shapes="图片_x0020_11"><![endif]></span><span lang=EN-US style='font-size:13.5pt;
font-family:"Arial",sans-serif;mso-fareast-font-family:宋体;color:#4D4D4D;
mso-font-kerning:0pt'><br>
4. </span><span style='font-size:13.5pt;font-family:宋体;mso-ascii-font-family:
Arial;mso-hansi-font-family:Arial;mso-bidi-font-family:Arial;color:#4D4D4D;
mso-font-kerning:0pt'>密钥扩展</span><span lang=EN-US style='font-size:13.5pt;
font-family:"Arial",sans-serif;mso-fareast-font-family:宋体;color:#4D4D4D;
mso-font-kerning:0pt'><br>
</span><span style='font-size:13.5pt;font-family:宋体;mso-ascii-font-family:Arial;
mso-hansi-font-family:Arial;mso-bidi-font-family:Arial;color:#4D4D4D;
mso-font-kerning:0pt'>已知加密密钥，系统参数</span><span lang=EN-US style='font-size:13.5pt;
font-family:"Arial",sans-serif;mso-fareast-font-family:宋体;color:#4D4D4D;
mso-font-kerning:0pt'>FK=(FK0,FK1,FK2,FK3)</span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>，固定参数</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>CK=(CK0,CK1,.....,CK31).<o:p></o:p></span></p>

    <p class=MsoNormal align=left style='margin-bottom:12.0pt;text-align:left;
mso-pagination:widow-orphan;background:white'><span lang=EN-US
                                                    style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>rki</span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>为轮密钥，轮密钥由加密密钥生成。</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'><o:p></o:p></span></p>

    <p class=MsoNormal align=left style='margin-bottom:12.0pt;text-align:left;
mso-pagination:widow-orphan;background:white'><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>首先，</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'><o:p></o:p></span></p>

    <p class=MsoNormal align=left style='margin-bottom:12.0pt;text-align:left;
mso-pagination:widow-orphan;background:white'><span lang=EN-US
                                                    style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt;mso-no-proof:yes'><!--[if gte vml 1]><v:shape
            id="图片_x0020_10" o:spid="_x0000_i1028" type="#_x0000_t75" alt="https://img-blog.csdn.net/20181011203405777?watermark/2/text/aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L2NnMTI5MDU0MDM2/font/5a6L5L2T/fontsize/400/fill/I0JBQkFCMA==/dissolve/70"
            style='width:493.8pt;height:39pt;visibility:visible;mso-wrap-style:square'>
        <v:imagedata src="sm4.files/image009.png" o:title="70"/>
    </v:shape><![endif]--><![if !vml]><img width=658 height=52
                                           src="sm4.files/image010.png"
                                           alt="https://img-blog.csdn.net/20181011203405777?watermark/2/text/aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L2NnMTI5MDU0MDM2/font/5a6L5L2T/fontsize/400/fill/I0JBQkFCMA==/dissolve/70"
                                           v:shapes="图片_x0020_10"><![endif]></span><span lang=EN-US style='font-size:13.5pt;
font-family:"Arial",sans-serif;mso-fareast-font-family:宋体;color:#4D4D4D;
mso-font-kerning:0pt'><o:p></o:p></span></p>

    <p class=MsoNormal align=left style='margin-bottom:12.0pt;text-align:left;
mso-pagination:widow-orphan;background:white'><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>然后对</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>i=0,1,2,...,31:<o:p></o:p></span></p>

    <p class=MsoNormal align=left style='margin-bottom:12.0pt;text-align:left;
mso-pagination:widow-orphan;background:white'><span lang=EN-US
                                                    style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span
            style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="图片_x0020_9" o:spid="_x0000_i1027"
                                                                 type="#_x0000_t75" alt="https://img-blog.csdn.net/20181011203704251?watermark/2/text/aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L2NnMTI5MDU0MDM2/font/5a6L5L2T/fontsize/400/fill/I0JBQkFCMA==/dissolve/70"
                                                                 style='width:401.4pt;height:39.6pt;visibility:visible;mso-wrap-style:square'>
        <v:imagedata src="sm4.files/image011.png" o:title="70"/>
    </v:shape><![endif]--><![if !vml]><img width=535 height=53
                                           src="sm4.files/image011.png"
                                           alt="https://img-blog.csdn.net/20181011203704251?watermark/2/text/aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L2NnMTI5MDU0MDM2/font/5a6L5L2T/fontsize/400/fill/I0JBQkFCMA==/dissolve/70"
                                           v:shapes="图片_x0020_9"><![endif]></span><o:p></o:p></span></p>

    <p class=MsoNormal align=left style='margin-bottom:12.0pt;text-align:left;
mso-pagination:widow-orphan;background:white'><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>改变换与加密中的</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>T</span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>变换基本相同，只是将其中的线性变换改为：，由于系统参数个固定参数是已知的，轮密钥即可求得。</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'><o:p></o:p></span></p>

    <p class=MsoNormal align=left style='margin-bottom:12.0pt;text-align:left;
mso-pagination:widow-orphan;background:white'><span lang=EN-US
                                                    style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt;mso-no-proof:yes'><!--[if gte vml 1]><v:shape
            id="图片_x0020_8" o:spid="_x0000_i1026" type="#_x0000_t75" alt="https://img-blog.csdnimg.cn/20190707133859927.png?x-oss-process=image/watermark,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3dlaXhpbl8zNzU2OTA0OA==,size_16,color_FFFFFF,t_70"
            style='width:529.2pt;height:341.4pt;visibility:visible;mso-wrap-style:square'>
        <v:imagedata src="sm4.files/image012.png" o:title="watermark,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3dlaXhpbl8zNzU2OTA0OA==,size_16,color_FFFFFF,t_70"/>
    </v:shape><![endif]--><![if !vml]><img width=706 height=455
                                           src="sm4.files/image013.png"
                                           alt="https://img-blog.csdnimg.cn/20190707133859927.png?x-oss-process=image/watermark,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3dlaXhpbl8zNzU2OTA0OA==,size_16,color_FFFFFF,t_70"
                                           v:shapes="图片_x0020_8"><![endif]></span><span lang=EN-US style='font-size:13.5pt;
font-family:"Arial",sans-serif;mso-fareast-font-family:宋体;color:#4D4D4D;
mso-font-kerning:0pt'><o:p></o:p></span></p>

    <p class=MsoNormal align=left style='margin-bottom:12.0pt;text-align:left;
mso-pagination:widow-orphan;background:white'><span lang=EN-US
                                                    style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>5. </span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>加密</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>/</span><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>解密过程</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'><br>
</span><span style='font-size:13.5pt;font-family:宋体;mso-ascii-font-family:Arial;
mso-hansi-font-family:Arial;mso-bidi-font-family:Arial;color:#4D4D4D;
mso-font-kerning:0pt'>加密最后一轮变换时，输出为：</span><span lang=EN-US style='font-size:
13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:宋体;color:#4D4D4D;
mso-font-kerning:0pt'><o:p></o:p></span></p>

    <p class=MsoNormal align=left style='margin-bottom:12.0pt;text-align:left;
mso-pagination:widow-orphan;background:white'><span lang=EN-US
                                                    style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt;mso-no-proof:yes'><!--[if gte vml 1]><v:shape
            id="图片_x0020_7" o:spid="_x0000_i1025" type="#_x0000_t75" alt="https://img-blog.csdn.net/20181011204249272?watermark/2/text/aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L2NnMTI5MDU0MDM2/font/5a6L5L2T/fontsize/400/fill/I0JBQkFCMA==/dissolve/70"
            style='width:486pt;height:40.8pt;visibility:visible;mso-wrap-style:square'>
        <v:imagedata src="sm4.files/image014.png" o:title="70"/>
    </v:shape><![endif]--><![if !vml]><img width=648 height=54
                                           src="sm4.files/image014.png"
                                           alt="https://img-blog.csdn.net/20181011204249272?watermark/2/text/aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L2NnMTI5MDU0MDM2/font/5a6L5L2T/fontsize/400/fill/I0JBQkFCMA==/dissolve/70"
                                           v:shapes="图片_x0020_7"><![endif]></span><span lang=EN-US style='font-size:13.5pt;
font-family:"Arial",sans-serif;mso-fareast-font-family:宋体;color:#4D4D4D;
mso-font-kerning:0pt'><o:p></o:p></span></p>

    <p class=MsoNormal align=left style='margin-bottom:12.0pt;text-align:left;
mso-pagination:widow-orphan;background:white'><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>最后输出是加密的反序，解密时只是将轮密钥的使用顺序进行逆向进行。</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'><o:p></o:p></span></p>

    <p class=MsoNormal align=left style='margin-bottom:12.0pt;text-align:left;
mso-pagination:widow-orphan;background:white'><span style='font-size:13.5pt;
font-family:宋体;mso-ascii-font-family:Arial;mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;color:#4D4D4D;mso-font-kerning:0pt'>视频教学：</span><span
            lang=EN-US style='font-size:13.5pt;font-family:"Arial",sans-serif;mso-fareast-font-family:
宋体;color:#4D4D4D;mso-font-kerning:0pt'>https://v.youku.com/v_show/id_XMTc1NzIzNDgwMA==.html</span><span
            lang=EN-US style='mso-bidi-font-size:10.5pt;font-family:"Arial",sans-serif;
mso-fareast-font-family:宋体;color:#333333;mso-font-kerning:0pt'><o:p></o:p></span></p>

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